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Exterior Angle Theorem Parallel Lines Cut by a Transversal

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Presentation on theme: "Exterior Angle Theorem Parallel Lines Cut by a Transversal"— Presentation transcript:

1 Exterior Angle Theorem Parallel Lines Cut by a Transversal
5.5 Exterior Angle Theorem Parallel Lines Cut by a Transversal Objectives: To learn and apply the concepts of Exterior Angles and Parallel Lines Cut by a Transversal

2 Example 1 Find x.

3 Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

4 Example 2 Find x.

5 Transversal Transversal - A line intersecting two or more other lines in the plane

6 Interior Angles Interior angles

7 Exterior Angles Exterior angles

8 Corresponding Angles Corresponding angles
same location relative to intersection

9 Alternate Interior Angles

10 Alternate Exterior Angles

11 Consecutive Interior Angles

12 Example 3 Find angles 1, 2, and 3.

13 Example 4 Find the measure of each numbered angle in the figure.


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